地点: 东7报告厅

报告人: 恽之玮（Massachusetts Institute of Technology）

摘要: I will talk about two results that geometrize the theta correspondence over finite fields in the style of Springer and Lusztig. The first construction, joint with Gurevich, gives analogs of character sheaves in the context of theta correspondence. The second result, joint with Jiajun Ma, Congling Qiu and Jialiang Zou, describes the theta correspondence for principal series representations using Springer theory.

报告人介绍：Yun received his Bachelor’s degree from Peking University in 2004, and the PhD degree from Princeton University in 2009, under the supervision of R.MacPherson. He was a member of the Institute for Advanced Study 2009-2010, and a CLE Moore Instructor at MIT 2010-2012. He had faculty appointments at Stanford and at Yale, before joining the MIT faculty. Yun’s research is at the crossroads between algebraic geometry, number theory, and representation theory. Yun received the 2012 SASTRA Ramanujan Prize, the 2013 Packard Fellowship, and the 2016 Morningside Silver Medal of Mathematics given by the International Congress of Chinese Mathematicians. In December 2017, Yun and Wei Zhang received the 2018 New Horizons Breakthrough Prize in Mathematics. Yun was an invited speaker at ICM 2018. In 2019, Yun received the Gold Medal of Mathematics by the International Congress of Chinese Mathematics (formerly the Morningside Gold Medal). He was also selected to be Fellow of the AMS. In 2020, Zhiwei received a Simons Investigatorship in Mathematics.